A bar operator for involutions in a Coxeter group
In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry...
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| Format: | Article |
| Language: | en_US |
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Institute of Mathematics, Academia Sinica
2012
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| Online Access: | http://hdl.handle.net/1721.1/71689 https://orcid.org/0000-0001-9414-6892 |
| _version_ | 1826204247766597632 |
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| author | Lusztig, George |
| author2 | Massachusetts Institute of Technology. Department of Mathematics |
| author_facet | Massachusetts Institute of Technology. Department of Mathematics Lusztig, George |
| author_sort | Lusztig, George |
| collection | MIT |
| description | In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry) and in particular it makes sense for an arbitrary Coxeter group. |
| first_indexed | 2024-09-23T12:51:15Z |
| format | Article |
| id | mit-1721.1/71689 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T12:51:15Z |
| publishDate | 2012 |
| publisher | Institute of Mathematics, Academia Sinica |
| record_format | dspace |
| spelling | mit-1721.1/716892019-05-17T07:44:07Z A bar operator for involutions in a Coxeter group Lusztig, George Massachusetts Institute of Technology. Department of Mathematics Lusztig, George Lusztig, George In [LV] the authors defined a Hecke algebra action and a bar involution on a vector space spanned by the involutions in a Weyl group. In this paper we give a new definition of the Hecke algebra action and the bar operator which, unlike the one in [LV], is completely elementary (does not use geometry) and in particular it makes sense for an arbitrary Coxeter group. National Science Foundation (U.S.) (grant DMS-0758262) 2012-07-18T18:39:02Z 2012-07-18T18:39:02Z 2012-01 Article http://purl.org/eprint/type/JournalArticle 0304-9825 http://hdl.handle.net/1721.1/71689 Lusztig, George. "A bar operator for involutions in a Coxeter group." Bulletin of the Institute of Mathematics Academia Sinica (New Series) 7.3 (September 2012), p. 355-404. OPEN_ACCESS_POLICY https://orcid.org/0000-0001-9414-6892 en_US http://w3.math.sinica.edu.tw/bulletin_ns/20123/2012302.pdf Bulletin of the Institute of Mathematics Academia Sinica NS Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Institute of Mathematics, Academia Sinica arXiv |
| spellingShingle | Lusztig, George A bar operator for involutions in a Coxeter group |
| title | A bar operator for involutions in a Coxeter group |
| title_full | A bar operator for involutions in a Coxeter group |
| title_fullStr | A bar operator for involutions in a Coxeter group |
| title_full_unstemmed | A bar operator for involutions in a Coxeter group |
| title_short | A bar operator for involutions in a Coxeter group |
| title_sort | bar operator for involutions in a coxeter group |
| url | http://hdl.handle.net/1721.1/71689 https://orcid.org/0000-0001-9414-6892 |
| work_keys_str_mv | AT lusztiggeorge abaroperatorforinvolutionsinacoxetergroup AT lusztiggeorge baroperatorforinvolutionsinacoxetergroup |